Find the angle between the given vectors. Round to the nearest tenth of a degree.u = -i + 6j, v = 4i - 5j

A. 150.8°
B. 60.8°
C. 62.5°
D. 0.9°


Answer: A

Mathematics

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Solve using Cramer's Rule.Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 124 pounds is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations. Solve the system to find W1 and W2.  (W1 + W2) = 124 W1 - W2 = 0

A. W1 = 71.59 lb; W2= 71.59 lb B. W1 = -71.59 lb; W2= -71.59 lb C. W1 = 71.59 lb; W2= 62 lb D. W1 = 41.33 lb; W2= 41.33 lb

Mathematics

Find the sum of the geometric series.Round the answer to four decimal places when necessary.

A. 461.8554 B. 5123.1183 C. 9171.1034 D. 4585.5517

Mathematics

Multiply the polynomials using the FOIL method. Express the answer as a single polynomial in standard form.(4x - 7)(x - 3)

A. 4x2 - 20x + 21 B. 4x2 - 19x + 21 C. x2 + 21x - 19 D. x2 - 19x - 20

Mathematics

Find the quotient.(8x9 - 32x6 - 20x3) ÷ (4x3)

A. 2x6 - 32x6 - 20x3 B. 2x9 - 8x6 - 5x3 C. 2x6 - 8x3 - 5 D. 8x6 - 32x3 - 20

Mathematics